6.1 (a) Show that for a system of current-carrying elements in empty space the total energy in the magnetic field is 1 mfarafat J(x). J(x') W x - x where J(x) is the current density. (6) If the current configuration consists of n circuits carrying currents 11, 12, ..., In, show that the energy can be expressed as 22 W = } EL;1; + MII; Exhibit integral expressions for the self-inductances (L) and the mutual inductances (MP3) 6.1 (a) Show that for a system of current-carrying elements in empty space the total energy in the magnetic field is 1 mfarafat J(x). J(x') W x - x where J(x) is the current density. (6) If the current configuration consists of n circuits carrying currents 11, 12, ..., In, show that the energy can be expressed as 22 W = } EL;1; + MII; Exhibit integral expressions for the self-inductances (L) and the mutual inductances (MP3)